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Finding the Third Proportional to 825,476 and 1,806,488

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Solution

The third proportional to 825,476 and 1,806,488 is: 3,953,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,476 : 1,806,488 = 1,806,488 : x
  2. Step 2: Convert to fraction form
    825,476/1,806,488 = 1,806,488/x
  3. Step 3: Cross multiply
    825,476x = 1,806,488 × 1,806,488
  4. Step 4: Simplify right side
    825,476x = 3,263,398,894,144
  5. Step 5: Solve for x
    x = 3,263,398,894,144/825,476
  6. Step 6: Final answer
    x = 3,953,354.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.